On the cardinality of a reduced unique range set

• Date: 2020
• Main Authors: Chakraborty, B., Chakraborty, Bikash
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/594
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5Two meromorphic functions are said to share a set $S\subset \mathbb{C}\cup\{\infty\}$ ignoring multiplicities (IM) if $S$ has the same pre-images under both functions. If any two nonconstant meromorphic functions, sharing a set IM, are identical, then the set is called a “reduced unique ran...